This paper proposes a nonsingular terminal sliding-mode control method for induction motors. Based on the mathematical model of induction motors and the field orientation control principle, the closed-loop speed control system of IMs are designed. The controllers for speed, flux, and currents of an induction motor are designed respectively using nonsingular terminal sliding-mode control technique and the Lyapunov stability theorem. The chattering and singular phenomena existed in conventional terminal sliding-mode control are eliminated. The simulation results show the proposed method can improve the system response speed, steady-state performances, and robustness of induction motor speed control systems